Assume that you take data on the projectile range for a variety of different launch angles A at a fixed initial velocity Vo. You would like to plot your data to see if the range formula discussed in the introduction is supported by the data. The easiest way to do this is to plot the range R on the y axis versus a quantity on the x axis that depends on the launch angle A and would result in a straight line. What quantity will you plot on the x axis to obtain a straight line under these conditions?

3 answers

Go back to the earlier problem I just did.
Go back to the earlier problem I just did.

"range = u (2 T)
= Vo cos T (Vo/4.9) sin T
= (Vo^2/4.9) cos T sin T "

plot range versus (cosT sinT)
which is
(1/2) sin 2 T

so plot versus sin 2T
But if you do that do T = 0 to 90 so 2T is from 0 to 180